У оквиру семинара Групе за гравитацију, честице и поља Института за физику у Београду, у петак, 29. јануара 2021. године у 11 часова путем BigBlueButton платформе, Тијана Раденковић (Група за гравитацију, честице и поља, Институт за физику у Београду) одржаће предавање:
Gauge symmetry of the 3BF theory for a generic Lie 3-group
САЖЕТАК:
The higher category theory can be employed to generalize the
BF action to the so-called 3BF action, by passing from the notion of a
gauge group to the notion of a gauge 3-group. In this work we determine
the full gauge symmetry of the 3BF action. To that end, the complete
Hamiltonian analysis of the 3BF action for a general Lie 3-group is
performed, by using the Dirac procedure. This analysis is the first step
towards a canonical quantization of a 3BF theory. This is an important
stepping-stone for the quantization of the complete Standard Model of
elementary particles coupled to Einstein-Cartan gravity, formulated as a
3BF action with suitable simplicity constraints. We show that the
resulting gauge symmetry group consists of the already familiar G-, H-,
and L-gauge transformations, as well as additional M- and N-gauge
transformations, which have not been discussed in the existing
literature.
ArXiv ePrint: 2101.04049